Timeline for Upper bound on the dimension of the Hilbert scheme of space cuves
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 12, 2013 at 20:16 | vote | accept | Naga Venkata | ||
| Nov 3, 2012 at 14:37 | comment | added | Naga Venkata | @Staats: I am expecting that the upper bound depend on the Hilbert polynomial of the curve, of course. There are as such no restrictions on $X$ but I am primarily interested in smooth surfaces. | |
| Nov 1, 2012 at 19:53 | answer | added | Will Sawin | timeline score: 0 | |
| Nov 1, 2012 at 18:25 | comment | added | Charles Staats | A couple questions: 1) Are there any restrictions on $X$? For instance, is $X$ allowed to be a union of $d$ 2-planes, or even an infinitesimal thickening of a single 2-plane? 2) For your question (1), are you looking for an upper bound that does not depend at all on the Hilbert polynomial $P$ of the curve? $$ $$ If the answers are "no" and "yes" respectively, then it seems clear that the answer to your question 1) is "no", since the dimension of the space of degree $e$ curves in a 2-plane goes to $\infty$ as $e \to \infty$. | |
| Nov 1, 2012 at 17:35 | history | edited | Naga Venkata | CC BY-SA 3.0 |
edited title
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| Nov 1, 2012 at 15:56 | history | asked | Naga Venkata | CC BY-SA 3.0 |